ProShares UltraPro QQQ (TQQQ)

TotalReturn:

'Total return, when measuring performance, is the actual rate of return of an investment or a pool of investments over a given evaluation period. Total return includes interest, capital gains, dividends and distributions realized over a given period of time. Total return accounts for two categories of return: income including interest paid by fixed-income investments, distributions or dividends and capital appreciation, representing the change in the market price of an asset.'

• The total return, or performance over 5 years of ProShares UltraPro QQQ is 132.1%, which is greater, thus better compared to the benchmark SPY (93.2%) in the same period.
• Looking at total return in of 365.4% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (80.1%).

CAGR:

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

• The annual performance (CAGR) over 5 years of ProShares UltraPro QQQ is 18.4%, which is higher, thus better compared to the benchmark SPY (14.1%) in the same period.
• During the last 3 years, the annual performance (CAGR) is 67.4%, which is greater, thus better than the value of 21.8% from the benchmark.

Volatility:

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

• The 30 days standard deviation over 5 years of ProShares UltraPro QQQ is 67%, which is higher, thus worse compared to the benchmark SPY (17%) in the same period.
• Compared with SPY (15.1%) in the period of the last 3 years, the historical 30 days volatility of 58.2% is higher, thus worse.

DownVol:

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

• Compared with the benchmark SPY (11.7%) in the period of the last 5 years, the downside volatility of 46.8% of ProShares UltraPro QQQ is higher, thus worse.
• Compared with SPY (10.1%) in the period of the last 3 years, the downside volatility of 39.5% is larger, thus worse.

Sharpe:

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

• The Sharpe Ratio over 5 years of ProShares UltraPro QQQ is 0.24, which is smaller, thus worse compared to the benchmark SPY (0.68) in the same period.
• During the last 3 years, the ratio of return and volatility (Sharpe) is 1.12, which is lower, thus worse than the value of 1.28 from the benchmark.

Sortino:

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

• Looking at the excess return divided by the downside deviation of 0.34 in the last 5 years of ProShares UltraPro QQQ, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.99)
• Compared with SPY (1.91) in the period of the last 3 years, the downside risk / excess return profile of 1.64 is smaller, thus worse.

Ulcer:

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

• Looking at the Ulcer Ratio of 42 in the last 5 years of ProShares UltraPro QQQ, we see it is relatively greater, thus worse in comparison to the benchmark SPY (8.42 )
• During the last 3 years, the Ulcer Ratio is 16 , which is greater, thus worse than the value of 3.4 from the benchmark.

MaxDD:

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

• Looking at the maximum DrawDown of -81.7 days in the last 5 years of ProShares UltraPro QQQ, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-24.5 days)
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum drop from peak to valley of -58 days is lower, thus worse.

MaxDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

• The maximum days below previous high over 5 years of ProShares UltraPro QQQ is 762 days, which is larger, thus worse compared to the benchmark SPY (488 days) in the same period.
• Compared with SPY (87 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 161 days is higher, thus worse.

AveDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

• Looking at the average time in days below previous high water mark of 259 days in the last 5 years of ProShares UltraPro QQQ, we see it is relatively larger, thus worse in comparison to the benchmark SPY (119 days)
• Looking at average days below previous high in of 44 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (19 days).